- #1
shan
- 57
- 0
The question is about the series:
sum of (1.01)^n from n=1 to infinity
It asks me to investigate the partial sums for that series and then find an expression for Sn. The partial sum part goes like:
S1=1.01
S2=1.01+(1.01)^2=2.0301
S3=1.01+(1.01)^2+(1.01)^3=3.060401
S4=1.01+(1.01)^2+(1.01)^3+(1.01)^4=4.10100501
etc
I'm stuck on finding the general formula (Sn) for the sequence
1.01, 2.0301, 3.060401, 4.10100501...
My friends and I have only gotten as far as guessing that it might be n+(1/something^something) but I'm wonderfing if there is a better way to find a formula for a sequence of numbers rather than guessing?
sum of (1.01)^n from n=1 to infinity
It asks me to investigate the partial sums for that series and then find an expression for Sn. The partial sum part goes like:
S1=1.01
S2=1.01+(1.01)^2=2.0301
S3=1.01+(1.01)^2+(1.01)^3=3.060401
S4=1.01+(1.01)^2+(1.01)^3+(1.01)^4=4.10100501
etc
I'm stuck on finding the general formula (Sn) for the sequence
1.01, 2.0301, 3.060401, 4.10100501...
My friends and I have only gotten as far as guessing that it might be n+(1/something^something) but I'm wonderfing if there is a better way to find a formula for a sequence of numbers rather than guessing?